Degree Type

Dissertation

Date of Award

2013

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Gary M. Lieberman

Abstract

We study the a priori estimates and existence for solutions of mixed boundary value problems for quasilinear elliptic equations. We prove maximum estimates, gradient estimates and H"older gradient estimates and use them to prove the existence theorem in $C^{1,alpha'}(bar{Omega})$ through some functional analytical tool. The barrier method is used and the angle conditions are derived.

DOI

https://doi.org/10.31274/etd-180810-3228

Copyright Owner

Chunquan Tang

Language

en

File Format

application/pdf

File Size

79 pages

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